Evaluating Composite Functions and Operations

The video tutorial introduces the concept of composite functions, explaining the notation and how to evaluate them. The teacher provides two functions, f(x) = 3x - 5 and g(x) = x^2 + 2, and demonstrates how to evaluate f(g(2)) and g(f(-1)) step-by-step. The tutorial concludes with a call to action for viewers to like and subscribe.

What is the notation for a composite function?

• f * g(x)

• f - g(x)

• f + g(x)

• f(g(x))

How is the notation f(g(x)) read?

• f times g of x

• f composite g of x

• f plus g of x

• f minus g of x

What is the function f(x) given in the video?

• 5x - 3

• 3x - 5

• 2x + 3

• x^2 + 2

What is the function g(x) given in the video?

• x^2 + 2

• 3x - 5

• 2x + 3

• x^2 - 2

What is the first step in evaluating f(g(2))?

• Replace x in f(x) with 2

• Replace x in g(x) with 2

• Add f(x) and g(x)

• Multiply f(x) and g(x)

What expression do you get after substituting g(x) into f(x)?

• 3x - 5 + x^2

• 3(x^2 + 2) - 5

• 3x^2 + 2 - 5

• x^2 + 2 - 5

What is the value of 3 times 2 squared?

• 24

• 12

• 6

• 18

What is the value of 4 plus 2?

• 10

• 4

• 6

• 8

What is the result of f(g(2))?

• 15

• 13

• 18

• 20

What should you do if the function f comes first in the notation?

• Subtract f from g

• Use f as the input

• Use g as the input

• Add f and g